Article ID Journal Published Year Pages File Type
4587228 Journal of Algebra 2010 5 Pages PDF
Abstract

The n-th order covariant derivative on a smooth manifold with affine connection is a differential operator which maps a function to a tensor field of type (0,n). In the paper the properties of this operator related to the permutations of indices are investigated by means of non-associative algebra. The general formula for commutation relations of this kind is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory